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Finding the Fourth Proportional to 200,495.94, 276,649.22 and 114,415.62

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Solution

The fourth proportional to 200,495.94, 276,649.22 and 114,415.62 is: 157,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,495.94 : 276,649.22 = 114,415.62 : x
  2. Step 2: Convert to fraction form
    200,495.94/276,649.22 = 114,415.62/x
  3. Step 3: Cross multiply
    200,495.94x = 276,649.22 × 114,415.62
  4. Step 4: Simplify right side
    200,495.94x = 31,652,992,028.82
  5. Step 5: Solve for x
    x = 31,652,992,028.82/200,495.94
  6. Step 6: Final answer
    x = 157,873.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.